Mamedov, F. I.Amanov, R. A.2024-04-242024-04-2420091061-00221547-7371https://doi.org/10.1090/S1061-0022-09-01055-3https://hdl.handle.net/11468/17177Weighted inequalities parallel to f parallel to(q,nu,B0) <= C Sigma(n)(j=1) parallel to f(xj)parallel to(p,omega j,B0) of Sobolev type (supp f subset of B-0) and of Poincare type ((f) over bar (nu,B0) = 0) are studied, with different weight functions for each partial derivative f(xj), for parallelepipeds B-0 subset of E-n, n >= 1. Also, weighted inequalities parallel to f parallel to(q,nu) <= C parallel to X f parallel to(p,omega) of the same type are considered for vector fields X = {X-j}, j = 1,..., m, with infinitely differentiable coefficients satisfying the Hormander condition.eninfo:eu-repo/semantics/openAccessSobolev And Poincare InequalitiesCarnot-Caratheodory MetricBesicovitch PropertyON SOME NONUNIFORM CASES OF THE WEIGHTED SOBOLEV AND POINCARE INEQUALITIESON SOME NONUNIFORM CASES OF THE WEIGHTED SOBOLEV AND POINCARE INEQUALITIESArticle203447463WOS:00026749770000610.1090/S1061-0022-09-01055-3N/A